Trig TimeSeries

This command is used to construct a TimeSeries object in which the load factor is some trigonometric function of the time in the domain \(\lambda = f(t) = \begin{cases} \text{cFactor} * sin (\frac{2.0 \Pi (t-tStart)}{\text{period}} + \text{shift}), &\text{tStart} <= t <= \text{tFinish}\\ \text{0.0}, &\text{otherwise}\\ \end{cases}\)

Trigonometric Time Series

timeSeries Trig $tag $tStart $tEnd $period <-factor $cFactor> <-shift $shift>

Argument Type Description
$tag integer unique tag among TimeSeries objects.
$tStart float starting time of non-zero load factor
$tFinish float ending time of non-zero load factor
$period float characteristic period of sine wave
$shift float phase shift in radians (optional: default=0.0)
$cFactor float the load factor amplification factor (optional: default=1.0)

Example:

The following code demonstrates how user would create a trigonometric time series with a tag of 1, has a start time of 0.0, an end time of 10.0, a period of 1.0, and a max load factor of 2.0.

  1. Tcl Code
timeSeries Trig 1 0.0 10.0 1.0 -factor 2.0
  1. Python Code
timSeries('Trig',  1, 0.0, 10.0, 1.0, '-factor', 2.0)

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